Jodi Arias appears for a hearing in Maricopa County Superior Court in Phoenix, July 16, 2013.

AP Photo/The Arizona Republic, Mark Henle, Pool, File

(CBS) PHOENIX - Attorneys in the case of convicted killer Jodi Arias are expected back in court Monday for a hearing, CBS affiliate KPHO reports.

A judge may set a date for the re-trial of the case's penalty phase, during which a new jury will be tasked with deciding whether Arias should be sentenced to death or life in prison, according to Reuters.

A jury convicted Arias on first-degree murder charges in the May 8 in the stabbing death of her lover Travis Alexander in his suburban Phoenix home. About two weeks later, the same jury failed to reach a unanimous decision on whether to sentence Arias to life in prison or death.

A new jury will need to be seated before the second penalty phase can move forward.

Monday's hearing is set for 8:30 a.m., reports KPHO.

Arias' lawyers have filed a motion asking a judge to bar cameras in the courtroom during the second penalty phase. They've also asked a judge to to monitor the Twitter accounts of the new jurors in order to be certain the panel isn't using social media to communicate about the case.